Intersection curves of hypersurfaces in \(\mathbb R^4\)

DOI10.1016/J.CAGD.2011.10.004zbMath1242.65038OpenAlexW2078410095MaRDI QIDQ419461

Nassar H. Abdel-All, Soad A. Hassan, Sayed Abdel-Naeim Badr, Moustafa A. Soliman

Publication date: 18 May 2012

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2011.10.004

zbMATH Keywords

geometric propertieshypersurfacecurvaturestransversal intersectionFrénet apparatusFrénet framesurface-surface-surface intersection

Mathematics Subject Classification ID

Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

Related Items (11)

Can we find Willmore-like method for the tangential intersection problems? ⋮ Differential geometry of non-transversal intersection curves of three parametric hypersurfaces in Euclidean 4-space ⋮ Intersection curve of two parametric surfaces in Euclidean n-space ⋮ Hypersurface family with a common isoasymptotic curve ⋮ Differential geometry of transversal intersection curves of hypersurfaces in ℝ⁵ ⋮ Optimal intersection curves for surfaces ⋮ Willmore-like methods for the intersection of parametric (hyper)surfaces ⋮ Curvature computations for the intersection curves of hypersurfaces in Euclidean \(n\)-space ⋮ Differential geometry of non-transversal intersection curves of three implicit hypersurfaces in Euclidean 4-space ⋮ Non-transversal intersection curves of hypersurfaces in Euclidean 4-space ⋮ Hypersurfaces with a common asymptotic curve in the 4D Galilean space 𝔾4

Cites Work

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• Differential geometry of intersection curves in \(\mathbb{R}^{4}\) of three implicit surfaces
• On the intersection curve of three parametric hypersurfaces
• Tracing surface intersections
• Topological and differential-equation methods for surface intersections
• Differential geometry of intersection curves of two surfaces
• \(G^ 2\) interpolation and blending on surfaces
• Curvature formulas for implicit curves and surfaces

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